Answer:
The shorter range.
Step-by-step explanation:
When you think about the confidence interval you automatically think about how wide it is, in relation to its range. A typical confidence interval is generally 95%, however when it increases, it also increases the 'confidence' of the data and therefore its range.
Logically, a level of confidence of 85% will be much narrower than one of 90%, 95% or 99%, this implies that the wide range will be narrower than that of others. So things the 85% confidence interval in a multiple selection response, compared to the other three intervals, will always be the shortest.
Based on the information given, the 85% confidence interval would have the least numerical value.
In Mathematics, a confidence interval can be defined as a range of estimated values that defines the probability that a population parameter will lie within it.
This ultimately implies that, a confidence interval is an estimate of a range of estimated values (lower bound and an upper bound) that may contain a population parameter.
For confidence interval 85%;
[tex]\alpha =1-0.85\\\\\alpha =0.15[/tex]
For confidence interval 90%;
[tex]\alpha =1-0.90\\\\\alpha =0.10[/tex]
For confidence interval 99%;
[tex]\alpha =1-0.90\\\\\alpha =0.01[/tex]
Based on the above computations, the 85% confidence interval would be the narrowest and has the least numerical value while the 99% confidence interval would have the largest numerical value.
Read more on confidence interval here: https://brainly.com/question/25779324
